A328522 Largest highly composite number that has n prime factors counted with multiplicity.

1, 2, 6, 12, 60, 180, 1260, 2520, 27720, 83160, 1081080, 3603600, 61261200, 698377680, 3491888400, 80313433200, 240940299600, 1686582097200, 48910880818800, 1516237305382800, 3032474610765600, 112201560598327200, 3066842656354276800, 131874234223233902400, 659371171116169512000, 30990445042459967064000

Offset: 0

Author

David A. Corneth, Jan 04 2020

Keywords

• nonn

Comments

These numbers are upper bounds on the largest term in A002182 that is not divisible by k for some k.

Crossrefs

Cf. A001222, A002182, A112778, A328521.

Programs

Mathematica

With[{s = Take[Import["https://oeis.org/b002182.txt", "Data"][[All, -1]], 240]}, Drop[TakeWhile[#, IntegerQ], -6] &@ Table[s[[Lookup[#, n][[-1]] ]], {n, 0, Max@ Keys@ #}] &@ PositionIndex[Map[PrimeOmega, s]]] (* Michael De Vlieger, Jan 19 2020, using b-file at A002182. Caution: ensure full population of a given value of bigomega by extending scope beyond the desired number of terms. *)